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Finding the Fourth Proportional to 34,103.16, 51,142.50 and 13,049.10

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Solution

The fourth proportional to 34,103.16, 51,142.50 and 13,049.10 is: 19,568.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,103.16 : 51,142.50 = 13,049.10 : x
  2. Step 2: Convert to fraction form
    34,103.16/51,142.50 = 13,049.10/x
  3. Step 3: Cross multiply
    34,103.16x = 51,142.50 × 13,049.10
  4. Step 4: Simplify right side
    34,103.16x = 667,363,596.75
  5. Step 5: Solve for x
    x = 667,363,596.75/34,103.16
  6. Step 6: Final answer
    x = 19,568.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.